Beyond the Born approximation in one-dimensional profile reconstruction

A Comparision Among Some Local Approximation in One-Dimensional Profile Reconstruction

“…We shall also make comparisons with the Trantanella method which we have extended to include the case of complex conductivity. Briefly in the Trantanella method [19,21], the internal electric field assumes the form…”

“…where A and B are constants determined from the continuity of the tangential fields at the boundary z = 0 . The constants A and B are readily evaluated to obtain for z < 0 [19,21]…”

“…In the next section, we present the formulation of the localized approximation with the two extensions. In addition, we extend the Trantenella approximation [19,21] to include lossy profiles. (In their study Trantanella et al [21] modified the Born approximation by including both a forward and a reflected wave approximation to the internal fields.…”

Extraction of Permittivity from Reflection Data: Lossless Case

“…In the past, numerous investigations [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] have been conducted to study the reconstruction of a permittivity profile from measured reflection or transmission data. For example, the Born approximation developed in the early twentieth century deals with "weak-scattering" profile reconstruction problems.…”

A Comparision among Some Local Approximation in One-Dimensional Profile Reconstruction

“…In addition, we extend the Trantenella approximation [19,21] to include lossy profiles. (In their study Trantanella et al [21] modified the Born approximation by including both a forward and a reflected wave approximation to the internal fields. )…”